A cube of wood supporting a mass of 200 g just floats in water. When the mass is removed, the cube rises by 2 cm. What is the size of the cube?

6 cm

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8 cm

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10 cm

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12 cm

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Solution

The correct option is C
10 cm

Let the side of the cube be l cm. The volume of the cube above the surface of water = volume of water displaced due to mass of 200g. Therefore, mass of displaced water is 200g, its volume is $200 c m^{3}$ . Hence $2 \times l \times l = 200 o r l = 10 c m .$

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A cube of wood supporting a mass of 200 g just floats in water. When the mass is removed, the cube rises by 2 cm. What is the size of the cube?

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